2005711032653 has 8 divisors (see below), whose sum is σ = 2016290090496. Its totient is φ = 1995132787200.

The previous prime is 2005711032649. The next prime is 2005711032667. The reversal of 2005711032653 is 3562301175002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2005711032653 - 2² = 2005711032649 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005711032253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5113613 + ... + 5491853.

It is an arithmetic number, because the mean of its divisors is an integer number (252036261312).

Almost surely, 2^{2005711032653} is an apocalyptic number.

It is an amenable number.

2005711032653 is a deficient number, since it is larger than the sum of its proper divisors (10579057843).

2005711032653 is a wasteful number, since it uses less digits than its factorization.

2005711032653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406195.

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 2005711032653 in words is "two trillion, five billion, seven hundred eleven million, thirty-two thousand, six hundred fifty-three".